Approximation properties of bivariate generalized Baskakov-Kantorovich operators

The purpose of this paper is to study the bivariate extension of the generalized Baskakov-Kantorovich operators and obtain results on the degree of approximation, Voronovskaja type theorems and their first order derivatives in polynomial weighted spaces. Furthermore, we illustrate the convergence of the bivariate operators to a certain function through graphics using Matlab algorithm. We also discuss the comparison of the convergence of the bivariate generalized Baskakov Kantorovich operators and the bivariate Sz\'{a}sz-Kantorovich operators to the function through illustrations using Matlab.

کلیدواژه ها:

rate of convergence ، simultaneous approximation ، bivariate modulus of continuity